PLS THIS IS MY LAST QUESTION

Mathematics

1 answer:

MrRa [10]2 years ago

5 0

Answer: x = 5.625

Step-by-step explanation: The triangles are similar; the side lengths of the large triangle are proportional to the lengths of the small triangle. The corresponding parts are proportional.

Use proportion. The total length of side FV is 16.

6:16 = x:15 . or 6/16=x/15

cross multiply 15 × 6 = 90, then divide 90/16

90/16 = x

5.625 = x

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A waether forecast predicts a 30% chance of rain for each of the next 3 days. Describe a way to stimulate the chance that it wil

DerKrebs [107]

Using a binomial distribution considering there's a 30% chance it will rain on any of the three days:

The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. 
The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. 
The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. 
The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. 

There's a 65.7% chance that it will rain at least once over the three-day period.

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2 years ago

Javier monthly net income is $1,500. He requests that his bank deposit 1/5 of his monthly earnings into his savings account. how

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1500 * 1/5
1500 * 0.2 = 300
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Javier contributes $3,600 a year to his savings.

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2 years ago

a triangle pyramid with an equilateral base has a side length of 10 centimeters and a surface area of 214.5 square meters. find

sweet [91]

Area of the base = 1/2 * 10 * 5sqrt3 = 25 sqrt3

Total surface area = 25 sqrt3 + 3 * 1/2 * 10 * slant height = 214.5

25 sqrt3 + 15h = 214.5
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h = (214.5 - 25sqrt3() / 15

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2 years ago

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 19.7, \sigma = 2$